13380876599400 has 1152 divisors, whose sum is σ = 50461795238400. Its totient is φ = 3282691276800.

The previous prime is 13380876599351. The next prime is 13380876599401. The reversal of 13380876599400 is 499567808331.

13380876599400 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 0 + 87 + 65 + 99 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (13380876599401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18872886246 + ... + 18872886954.

It is an arithmetic number, because the mean of its divisors is an integer number (43803641700).

Almost surely, 2^{13380876599400} is an apocalyptic number.

13380876599400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13380876599400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25230897619200).

13380876599400 is an abundant number, since it is smaller than the sum of its proper divisors (37080918639000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13380876599400 is a wasteful number, since it uses less digits than its factorization.

13380876599400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 13380876599400 in words is "thirteen trillion, three hundred eighty billion, eight hundred seventy-six million, five hundred ninety-nine thousand, four hundred".